Abstract

We are concerned with the stability
problem for linear discrete-time switched systems with time
delays. The problem is solved by using multiple Lyapunov
functions to develop constructive tools for the exponential
stability analysis of the switched time-delay system. Furthermore,
the uncertainties of the switched systems are also taken
into consideration. Sufficient delay-dependent conditions are
derived in terms of the average dwell time for the exponential
stability based on linear matrix inequalities (LMIs). Finally,
numerical examples are provided to illustrate the effectiveness
of the proposed method.